Answer: The missing values represented by x and y are 8 and 20, that is;
(x, y) = (8, 20)
Step-by-step explanation: The function y = 16 + 0.5x is a linear equation that can be solved graphically. This means the values of both variables x and y can be found on different points along the straight line graph.
The ordered pairs simply means for every value of x, there is a corresponding value of y.
The 2-column table has values for x and y which all satisfy the equation y = 16 + 0.5x. Taking the first row for example, the pair is given as (-4, 14).
This means when x equals negative 4, y equals 14.
Where y = 16 + 0.5x
y = 16 + 0.5(-4)
y = 16 + (-2)
y = 16 - 2
y = 14
Therefore the first pair, just like the other four pairs all satisfy the equation.
Hence, looking at the options given, we can determine which satisfies the equation
(option 1) When x = 0
y = 16 + 0.5(0)
y = 16 + 0
y = 16
(0, 16)
(option 2) When x = 5
y = 16 + 0.5(5)
y = 16 + 2.5
y = 18.5
(5, 18.5)
(option 3) When x = 8
y = 16 + 0.5(8)
y = 16 + 4
y = 20
(8, 20)
From our calculations, the third option (8, 20) is the correct ordered pair that would fill in the missing values x and y.
Answer:
The missing values represented by x and y are 8 and 20, that is;
(x, y) = (8, 20)
Step-by-step explanation:
Find the length of a. The length of the of the unknown leg is?
Answer:
10
Step-by-step explanation:
Pythagorean theorem
c² = a² + b²
26² = a² + 24²
a² = 26² - 24² = 100
a = √(100) = 10
The length of unknown leg will be a = 10 units
ConceptThe right angle triangle is given and the length of one side and length of hypotenuse are givenWe have to find the length of second sideSince the triangle given is right angle triangle we will use pythagorean theorem to find the length of third side.How to solve this problem?The steps are as follow:
The length of first side is 24 units and length of hypotenuse is 26 units and the second side is unknown which is taken as 'a' According to pythagorean theorem:(hypotenuse)^2 = (Side)^2 + (Side)^2
(26)^2 = (24)^2 + (a)^2
676 = 576 + (a)^2
(a)^2 = 676 - 576
(a)^2 = 100
a = 10 units
So the length of unknown leg will be a = 10 units
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A boy is playing ball in a garden surrounded by a wall 2.5 m high kicks the ball vertically up from a height of 0.4 m with a spee d of 14 m/s.For how long is the ball above the height of the wall .
Answer:
2.5 sec
Step-by-step explanation:
Height of wall = 2.5 m
initial speed of ball = 14 m/s
height from which ball is kicked = 0.4 m
we calculate the speed of the ball at the height that matches the wall first
height that matches wall = 2.5 - 0.4 = 2.1 m
using [tex]V^{2}[/tex] = [tex]U^{2}[/tex] + 2as
where a = acceleration due to gravity = -9.81 m/s^2 (negative in upwards movement)
[tex]V^{2}[/tex] = [tex]14^{2}[/tex] + 2(-9.81 x 2.1)
[tex]V^{2}[/tex] = 196 - 41.202
[tex]V^{2}[/tex] = 154.8
v = [tex]\sqrt{154.8}[/tex] = 12.44 m/s
this is the velocity of the ball at exactly the point where the wall ends.
At the maximum height, the speed of the ball becomes zero
therefore,
u = 12.44 m/s
v = 0 m/s
a = -9.81 m/s^2
t = ?
using V = U + at
0 = 12.44 - 9.81t
-12.44 = -9.81
t = -12.44/-9.81
t = 1.27 s
the maximum height the ball reaches will be gotten with
[tex]V^{2}[/tex] = [tex]U^{2}[/tex] + 2as
a = -9.81 m/s^2
0 = [tex]14^{2}[/tex] + 2(-9.81s)
0 = 196 - 19.62s
s = -196/-19.62 = 9.99 m. This the maximum height reached by the ball.
height from maximum height to height of ball = 9.99 - 2.5 = 7.49 m
we calculate for the time taken for the ball to travel down this height
a = 9.81 m/s^2 (positive in downwards movement)
u = 0
s = 7.49 m
using s = ut + [tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex]
7.49 = (0 x t) + [tex]\frac{1}{2}[/tex](9.81 x [tex]t^{2}[/tex] )
7.49 = 0 + 4.9[tex]t^{2}[/tex]
[tex]t^{2}[/tex] = 7.49/4.9 = 1.53
t = [tex]\sqrt{1.53}[/tex] = 1.23 sec
Total time spent above wall = 1.27 s + 1.23 s = 2.5 sec
The members of a basketball team need to
raise $895 for new uniforms. They already
have $351 from food sales. To raise the
remainder, they are planning a shoot-out
challenge. If 34 teams sign up, how much
must they charge per team to meet their
goal?
Answer:
$16
Step-by-step explanation:
First subtract $351 from $895 to find the dollar amount we're considering.
($895 - $351 = $544)
Then, divide the 34 teams into the $544 to yield the dollar amount each team should be charged. ($544 / 34 = $16)
Is -415 rational or irrational
Answer:
Rational
Step-by-step explanation:
Can convert it to a ratio (-415/1)
Answer:
Rational
Step-by-step explanation:
-415 is an integer. All integers are rational. It can be written as a fraction p/q, where p and q are integers and q is not equal to zero.
-415 can be written as [tex]-\frac{415}{1}[/tex].
Analyze the set below and answer the question that follows. (KUM) n (KUL) Which Venn diagram has shading that represents the given set?
Answer:
Choice A. The shading in the Venn Diagram shown in the first attachment represents the set [tex](K \cup M) \; \cap \; (K \cup L)[/tex].
Step-by-step explanation:
Let [tex]A[/tex], [tex]B[/tex], and [tex]C[/tex] be sets. By the distributive law of sets, [tex]A \cup (B \cap C)[/tex] and [tex](A \cup B) \cap (A \cup C)[/tex] refer to the same set.
Apply this property to simplify the given expression:
[tex]\begin{aligned}(K \cup M) \; \cap\; (K \cap L) = K\cup (M \cap L)\end{aligned}[/tex]
[tex]M \cap L[/tex] refers to the intersection between the two lower circles. The union of that intersection with set [tex]K[/tex] (the upper circle) would be the shaded region seen in choice A.
please help , factor 6x^2-33x+15 A. 3(2x-5)(x+1) B. 3(x+1)(2x+5) C. 3(2x-1)(x+5) D. 3(x-5)(2x-1)
Answer:
D
Step-by-step explanation:
Since the end term is positive, we know the 1 and 5 must both be positive or negative. However since -33x is negative, we know 1 and 5 are both negative too
Answer:
3(2x-1 )(x-5 )
Step-by-step explanation:
6x^2-33x+15
Factor out the greatest common factor
3(2x^2 -11x +5)
Factor inside the parentheses
3(2x )(x )
We need to get to -11 so the the only factors of 5 are 1 and 5 and they have to be negative
3(2x-1 )(x-5 )
2 * -5 + -1 = -10-1 = -11
Help……………………………………….
Answer:
The second option
Step-by-step explanation:
Adding n to the x inside of the parentheses moves the graph n units to the left
Answer:
5 units left. When looking at a translation of x inside of parentheses, it is the opposite of the sign. So x+5 becomes 5 to the left.
Step-by-step explanation:
Please please please answer this if you do this i will give you brain list I’ll give a thank you and I’ll rate you five star. It’s due soon so pls answer FAST!!
Answer:
b) 30^2 + b^2 = 40^2
Step-by-step explanation:
This is cuz the diagonal is the hypotenuse of the diagonal formed so it'll be c^ 2
c ^ 2 always is on the right hand side of the equation.
In this case since 40^2 is c^2 is should be on the right side of the equation.
Use set notation to denote the elements, subsets, and complements of the following given sets.
N is the set of odd natural numbers greater than 11 and less than 21. Use set notation to write the elements of N.
N = {13, 15, 17, 19)
N = {12, 14, 16, 18, 20}
N- {11, 12, 14, 16, 18, 20, 21)
N = {11, 13, 15, 17, 19, 21}
Answer:
N = {13, 15, 17, 19} is the correct answer.
Step-by-step explanation:
We are given with the following details:
N is the set of odd natural numbers.
N contains the elements which are greater than 11 and less than 21.
To write: The set notation for the elements of set N.
Solution:
First of all, let us see what are odd natural numbers.
Natural numbers are the positive integers i.e. {1,2,3,4, ........ }
Odd Natural numbers are the natural numbers which leave remainder as 1 when divided by 2 i.e. {1,3,5,7,9,11,13, ...... 21, 23, 25, 27.....}
Here, set N is odd natural numbers greater than 11 (so 11 will not be included) and less than 21 (so 21 will not be included). Odd natural numbers between 11 and 21 will be included.
So the answer will be N = {13,15,17,19}.
PLEASE HELP. A Ferries wheel has a diameter of 100 ft. The center of the wheel is 60 feet off the ground. If it takes the Ferries wheel 12 seconds to make a full rotation, find the height of a rider 2 seconds after he passes position A, the right most point on the wheel.
Answer choices:
A. 103.30 ft
B. 80.34 ft
C. 74.40 ft
D. 101.96 ft
Answer:
lresaputa es la C
Step-by-step explanation:
Please help me with my question!!
Answer:
C
Step-by-step explanation:
Equation:
[tex]\frac{x}{-2}+\frac{y}{10}=1\\\\\frac{x*5}{-2*5}+\frac{y}{10}=1\\\\\frac{-5x}{10}+\frac{y}{10}=1\\\\-5x+y=10\\\\y=5x+10[/tex]
NEED HELP ASAP! Arianna correctly simplified an expression. When she substituted \ into the simplified expression, the value was –4. Which could be Arianna’s original expression? One-sixth (negative 3 x minus 24) One-sixth (negative 5 x minus 8) One-sixth (negative 10 x minus 4) One-sixth (negative 12 x minus 16).
Answer:
(1/6)(-10x - 4) = -4
Step-by-step explanation:
(1/6)(-3x - 24) = -4
=> -3x - 24 = -4 x 6
=> -3x - 24 = -24
=> -3x = 24 - 24
=> -3x = 0
=> x = 0 (not 2) => Incorrect option
(1/6)(-5x - 8) = -4
=> -5x - 8 = -4 x 6
=> -5x - 8 = -24
=> -5x = 8 - 24
=> -5x = -16
=> x = 16/5 (not 2) => Incorrect option
(1/6)(-10x - 4) = -4
=> -10x - 4 = -4 x 6
=> -10x - 4 = -24
=> -10x = 4 - 24
=> -10x = -20
=> x = 2 => Correct option
(1/6)(-12x - 16) = -4
=> -12x - 16 = -4 x 6
=> -12x - 16 = -24
=> -12x = 16 - 24
=> -12x = 8
=> x = -3/4 (not 2) => Incorrect option
=> Option C is correct
Hope this helps!
Answer: C. One-sixth (negative 10 x minus 4)
Step-by-step explanation: On Edgenuity!!!!!!!!!!!!!
Sue invests £9000 in an account for one year.
At the end of the year, interest is added to her account.
Sue pays tax on this interest at a rate of 20%
She pays £30.24 tax.
Work out the percentage interest rate for the account.
Answer:
£151.20
Step-by-step explanation:
20%= 100%divided by 5
To find 100% from 20% you x by 5
so you times 30.24 by 5
30.24x 5 = 151.2
So the answer is £151.20
interest percentage rate would be 1.6754%
The interest rate for the account is 1.68%
What is interest rate?The interest rate is the amount a lender charges a borrower and is a percentage of the principal the amount loaned.
Given that,
Sue invests £9000 in an account for one year.
She pays £30.24 at a rate of 20%
So, 20% of the interest = £30.24
Let the interest be x,
X0.2 = 30.24
X = £151.2
The total interest was = £ 151.2
The rate R at which generated this interest =
R = (100 × 151.2)/(1 × 9000)
R = 15120/9000
R = 1.68%
Hence, the interest rate = 1.68%
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f(0) = g(0)
f(-2) = g(-2)
f(0) = g(-2)
f(-2) = g(0)
Answer:
f(-2) = g(-2)
8y⁷÷4y⁵ what is this answer
Answer:
Step-by-step explanation:
Terms with the exponents are like terms, we can subtract the exponents from each other when we divide.
(8y^7)/(4y^5) = 2y^(7-5) = 2y^2
Answer: [tex]2y^{2}[/tex]
Step-by-step explanation:
8/4=2
[tex]y^{7} / y^{5} =y^{7-5} =y^{2}[/tex]
so the answer is 2y^2
Please help there’s a picture to explain more
110
70
X=?
Answer:
Step-by-step explanation:
110 = 70 + X [ extarior angle property]
or, 110 - 70 = X
or , 40 = X
HOPE IT HELPS ...
MARK ME AS BRAINLIEST IF IT DOES SO
. 4/18 times 2/92. 1/9 times 3/63. 12/14 times 1/84.1/7 times 5/65. 17/20 times 1/61. 4 1/4 times 3 1/22. 3 5/6 times 4 1/23. 2 1/2 times 4 7/84.3 3/5 times 2 3/85. 3 1/2 times 3 3/8Whoever can solve at least 2 from each set is awesome!
Answer:
Step-by-step explanation:
4/18×2/92
=1/9×1/23
=1/207
1/9×3/63
=1/3×1/23
=1/69
12/14×1/84
=1/14×1/7
=1/98
1/7×5/65
=1/7×1/13
=1/91
17/20×1/61
=17/1220
4 1/4 ×3 1/22
=17/4×67/22
=1,139/88
=12 83/88
3 5/6×4 1/23
=23/6×93/23
=93/6
=15 3/6
=15 1/2
2 1/2×4 7/84
=5/2×343/84
=1715/168
=10 35/168
I have answered more than 2 from each set
Analyze the diagram below and complete the instructions that follow.
N
In the diagram, 212 22 22 = 23, and m41 = 609. Give the reasons that best support the following statements used to show
that m43 = 60°
1. 21 = 22 and 22 = 23; therefore, 2133
2. m 1 = 60° and 2123; therefore, 60° =m23
3. 60º = m/3; therefore, mx3 = 60°
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If /61 is the longest side length in the triangle, find the value of x that makes the triangle above a right triang
answer in simplest radical form.
A. 5
B. 6
C. 2V15
D. 6V10
Answer:
A. 5
Step-by-step explanation:
The longest side of the right triangle is the hypotenuse and it is √61 units. The other legs of the triangle is x unit and (x + 1) units.
From Pythagoras theorem for right angle triangle, the square of the hypotenuse is equal to the sum of the square of the other sides of the triangle. This implies that:
(√61)² = (x)² + (x + 1)²
x² + x² + 2x + 1 = 61
2x² + 2x + 1 - 61 = 0
2x² + 2x -60 = 0
Dividing through by 2 gives:
x² + x - 30 = 0
x² + 6x - 5x - 30 = 0
x(x + 6) -5(x + 6) = 0
(x-5)(x+6) = 0
x-5 = 0 or x+6 = 0
x = 5 or x = -6
Since the length of a side cannot be negative, x = 5 units
Answer:
The correct answer is A.
Step-by-step explanation:
X=5
Are the following figures similar? (1 point)
Yes; the corresponding angles are congruent
No; the corresponding angles are not congruent
yes; the corresponding sides are proportional
no; the corresponding sides are not proportional
Answer:
yes the corresponding angles are congruent...
it can be wrong
What is the area of a rectangle with length (3^2)^2 meters and width of 3^2 meters?
Answer:
729m^2
Step-by-step explanation:
Area of rectangle = length x width
From the question, we know that length = 3^2^2 = 81 ( three squared is 9. Nine squared is 81)
width = 3^2 = 9.
Now for the area: length x width = 81 x 9 = 729m^2.
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The standard form of the equation of a parabola is y=1/2x^2 - 4x+21. What is the vertex form of the equation?
Answer:
y=1/2*(x-4)^2+13
Step-by-step explanation:
Answer:
y=1/2*(x-4)^2+13
Step-by-step explanation:
Question 14 (1 point)
John is collecting vintage baseball cards and has about 25 he got from his dad. He is collecting
about 2 cards per month. Write a function, C(x), that represents how many cards John has
after x months.
N
Answer:
C(x) = 25 + 2x
Step-by-step explanation:
He already has 25 cards.
He is collecting 2 cards per month. In x months, he will have collected:
2 * x = 2x cards
That means that the number of cards he will have after x months will be the sum of the cards he already has and the cards he collects per month:
C(x) = 25 + 2x
Can someone show me how to get x for both
Answer:
So since the sum of both is 13 because it shows both of the lines connected as a length of lines.
So we add them (14+x)+(x+15) = 13
14+2x+15 = 19+2x = 13
-6=2x
x=
-3
Step-by-step explanation:
There are 40 nickels in a roll. If you have 250 rolls of nickels, how many nickels do you have?pls help me
Answer:
10,000 nickles
Step-by-step explanation:
Since there are 40 nickles in a roll and you have 250, think that you have 250 sets of 40. This means that this question is a multiplication problem.
Multiply 40 x 250. This would give you 10,000.
Don't forget units.
The number of nickels in 250 rolls is 10000
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here, There are 40 nickels in a roll. If I have 250 rolls of nickels, then the number of nickels in total is = 250×40
= 10000
Hence, The number of nickels in 250 rolls is 10000
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Find the y-intercept of the following equation. Simplify your answer.
y = 6x + 4
y-intercept =
Answer:
The slope is 6 and the y intercept is 4
(0,4)
Step-by-step explanation:
y = 6x + 4
This is in the form y = mx+b
where m is the slope and b is the y intercept
The slope is 6 and the y intercept is 4
(0,4)
If 65% of the light are on what percent of the lights are off
Answer:
since 100% is everything
100 - 65 = 35%
Step-by-step explanation:
35% of the lights are off
Answer:
35% are off
Step-by-step explanation:
The lights are either on or off
That is 100%
100 -65 = 35
65% are on
35% are off
Please answer correctly !!!!!!!! Will mark brianliest !!!!!!!!!!!!
Answer:
Step-by-step explanation:
Since length times width = the area, you know that the area divided by the length is the width. This means that 6x^2 + 10 / 2 = the length.
6x^2 / 2 = 3x^2
10/2 = 5
You end up with 3x^2 + 5 as the length.
Answer & Step-by-step explanation:
Since you trying to find the width when you are given the length and the area, then you are going to divide the area by the length to get the width.
(6x² + 10) ÷ 2
We can also put this into a fraction so it will be easier to know what you are dividing.
[tex]\frac{6x^2+10}{2}[/tex]
Divide 6x² by 2 and divide 10 by 2. Keep the exponent because 2 does not have a variable.
So, your width will be 3x² + 5
What are the zeros of the function g(x)=2(x+2)(x-9) located at
Answer:
x = - 2, x = 9
Step-by-step explanation:
Given
g(x) = 2(x + 2)(x - 9)
To find the zeros let g(x) = 0, that is
2(x + 2)(x - 9) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 9 = 0 ⇒ x = 9
The zeros of the function g(x)=2(x+2)(x-9) are -2 and 9.
What is the zeros and y-intercept of a function?Zeros is the Intersection points of the considered function's curve on input axis(usually represented by values of x)
y-intercept = Intersection points of the considered function's curve on output axis. On x-axis, value of y-coordinate is 0, On y-axis, value of x-coordinate is 0.
Thus, if function is y=f(x) then putting y = 0 gives zeros of the function.
And putting x = 0 gives the y-intercept of the function. (if any, for both cases).
Given the function as;
g(x) = 2(x + 2)(x - 9)
To find the zeros let g(x) = 0, that is;
2(x + 2)(x - 9) = 0
Then Equate each factor to zero and solve for x;
x + 2 = 0 ⇒ x = - 2
x - 9 = 0 ⇒ x = 9
Hence, the zeros of the function g(x)=2(x+2)(x-9) are -2 and 9.
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Choose the kind(s) of symmetry: point, line, plane, or none.
(A)
none
plane
point
line
it would be a Line
The line would be vertical right through the middle
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